Hierarchical robust a posteriori error estimator for a singularly perturbed problem

DOI10.1016/S1631-073X(02)00017-1zbMath1028.65116OpenAlexW2065094594MaRDI QIDQ1871545

S. Achchab, Abdellatif Agouzal, Boujemâa Achchab

Publication date: 26 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)00017-1

zbMATH Keywords

singular perturbationfinite element methoda posteriori error estimator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• Hierarchical a posteriori error estimator. Application to mixed finite elements
• Small data oscillation implies the saturation assumption
• Robust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshes
• A Posteriori Error Estimates Based on Hierarchical Bases
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• Formulations Mixtes Augmentées et Applications